Nobility Draws Rewards is an achievement quest. Once you reach a certain level for your character (in this case, Rising Light 6 or level 54) you will receive this quest.
Accepting the quest
You are not required to kill any mobs or do any tasks. All that is needed is to go meet with a NPC who is offering a reward for your character's level achievement.
For White Clans, the NPC is Village Chief Luo Changbo (in Zhengzhou). For Black Clans, go find Village Chief He Shan (Shi Zhang). Look for the white exclamation marker in the ingame map.
Description as follows: Experience Boost (1 day): Exp boosts by 20% for a day
Your character receives an Experience Boost item. To use it, right click and a confirmation window asks if you want to use the Experience Boost. Click yes to confirm. The item will disappear from your bag afterwards. It works similar to an Experience (xp) card sold in the Acclaim store, but the Experience Boost expires a day after it is activated.